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For The Mathematically Inclined

Anil Saigal
07/19/2017

Problem 1:

Which term of the arithmetic sequence 2, 5, 8... is equal to 227?


Problem 2:
The sum of three consecutive numbers in an arithmetic sequence is equal 27 and their product is equal to 585. What is the largest of  the three numbers?

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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-072017 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani. 

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com. 

If you need clarification on any problem, please contact anil@lokvani.com. 

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Problems from 07/06/17

Problem 1:
A car travels downhill at 72 mph (miles per hour), on the level at 63 mph, and uphill at only 56 mph  The car takes 4 hours to travel from town A to town B.  The return trip takes 4 hours and 40 minutes. What is the distance between the two towns.

Problem 2:
The sum of three numbers is 6, the sum of their squares is 8, and the sum of their cubes is 5.  What is the sum of their fourth powers?



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